Determine Where the Function $f ( x , y ) = \frac { 6 x y } { 9 x + 4 y - 1 }$

question 100

Multiple Choice

Determine where the function $f ( x , y ) = \frac { 6 x y } { 9 x + 4 y - 1 }$ is continuous.

• A) \(\{ ( x , y ) \mid 9 x + 4 y \neq 1 \}\)
• B) \(\{ ( x , y ) \mid 9 x + 4 y < 1 \}\)
• C) \(\{ ( x , y ) \mid 9 x + 4 y > 1 \}\)
• D) \(\{ ( x , y ) \mid 9 x + 4 y = 1 \}\)

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Definitions:

Power Distribution System

A network of electrical components deployed to distribute and deliver power from the supply system to the consumer effectively.

Diagram

A diagram is a simplified drawing representing the structure or workings of something, serving as a plan, schematic, or model.

Phase Voltage

The voltage measured across a single phase in a polyphase electrical system, important for understanding the distribution of power in systems like three-phase AC currents.

Line Voltage

The voltage present in the main electrical power lines, typically higher than what is safe for direct consumer use without transformation.